package org.matheclipse.core.integrate.rubi45;


import static org.matheclipse.core.expression.F.*;
import static org.matheclipse.core.integrate.rubi45.UtilityFunctionCtors.*;
import static org.matheclipse.core.integrate.rubi45.UtilityFunctions.*;
import org.matheclipse.core.interfaces.IAST;

/** 
 * IndefiniteIntegrationRules from the <a href="http://www.apmaths.uwo.ca/~arich/">Rubi -
 * rule-based integrator</a>.
 *  
 */
public class IntRules62 { 
  public static IAST RULES = List( 
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Times(ASymbol,Power(f,-1),Subst(Int(Times(Power(Plus(a,Times(b,x)),m),Power(Plus(c,Times(d,x)),n)),x),x,Tan(Plus(e,Times(f,x))))),And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),ZeroQ(Plus(ASymbol,Negate(CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Times(CN1,ASymbol,Power(f,-1),Subst(Int(Times(Power(Plus(a,Times(b,x)),m),Power(Plus(c,Times(d,x)),n)),x),x,Cot(Plus(e,Times(f,x))))),And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),ZeroQ(Plus(ASymbol,Negate(CSymbol)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(Sqr(d),f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(Power(Times(d,Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(a,d,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(b,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d)))),Times(d,Plus(Times(ASymbol,b,c),Times(a,BSymbol,c),Times(CN1,b,c,CSymbol),Times(CN1,a,ASymbol,d),Times(b,BSymbol,d),Times(a,CSymbol,d)),Tan(Plus(e,Times(f,x)))),Times(b,CSymbol,Plus(Sqr(c),Sqr(d)),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(n)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(Sqr(d),f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(Power(Times(d,Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(a,d,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(b,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d)))),Times(d,Plus(Times(ASymbol,b,c),Times(a,BSymbol,c),Times(CN1,b,c,CSymbol),Times(CN1,a,ASymbol,d),Times(b,BSymbol,d),Times(a,CSymbol,d)),Cot(Plus(e,Times(f,x)))),Times(b,CSymbol,Plus(Sqr(c),Sqr(d)),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(n)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(Sqr(d),f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(Power(Times(d,Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(a,d,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(b,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d)))),Times(d,Plus(Times(ASymbol,b,c),Times(CN1,b,c,CSymbol),Times(CN1,a,ASymbol,d),Times(a,CSymbol,d)),Tan(Plus(e,Times(f,x)))),Times(b,CSymbol,Plus(Sqr(c),Sqr(d)),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(n)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(Sqr(d),f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(Power(Times(d,Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(a,d,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(b,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d)))),Times(d,Plus(Times(ASymbol,b,c),Times(CN1,b,c,CSymbol),Times(CN1,a,ASymbol,d),Times(a,CSymbol,d)),Cot(Plus(e,Times(f,x)))),Times(b,CSymbol,Plus(Sqr(c),Sqr(d)),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(n)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(b,CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C2)),-1)),Times(CN1,Power(Times(d,Plus(n,C2)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,CSymbol),Times(CN1,a,ASymbol,d,Plus(n,C2)),Times(CN1,Plus(Times(ASymbol,b),Times(a,BSymbol),Times(CN1,b,CSymbol)),d,Plus(n,C2),Tan(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(a,CSymbol,d,Plus(n,C2)),Times(CN1,b,Plus(Times(c,CSymbol),Times(CN1,BSymbol,d,Plus(n,C2))))),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Less(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,b,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C2)),-1)),Times(CN1,Power(Times(d,Plus(n,C2)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,CSymbol),Times(CN1,a,ASymbol,d,Plus(n,C2)),Times(CN1,Plus(Times(ASymbol,b),Times(a,BSymbol),Times(CN1,b,CSymbol)),d,Plus(n,C2),Cot(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(a,CSymbol,d,Plus(n,C2)),Times(CN1,b,Plus(Times(c,CSymbol),Times(CN1,BSymbol,d,Plus(n,C2))))),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Less(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(b,CSymbol,Tan(Plus(e,Times(f,x))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C2)),-1)),Times(CN1,Power(Times(d,Plus(n,C2)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,CSymbol),Times(CN1,a,ASymbol,d,Plus(n,C2)),Times(CN1,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),d,Plus(n,C2),Tan(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(a,CSymbol,d,Plus(n,C2)),Times(CN1,b,c,CSymbol)),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Less(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,b,CSymbol,Cot(Plus(e,Times(f,x))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C2)),-1)),Times(CN1,Power(Times(d,Plus(n,C2)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,CSymbol),Times(CN1,a,ASymbol,d,Plus(n,C2)),Times(CN1,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),d,Plus(n,C2),Cot(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(a,CSymbol,d,Plus(n,C2)),Times(CN1,b,c,CSymbol)),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Less(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,ASymbol),Times(b,BSymbol),Times(CN1,a,CSymbol)),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(C2,f,m,Plus(Times(b,c),Times(CN1,a,d))),-1)),Times(Power(Times(C2,a,m,Plus(Times(b,c),Times(CN1,a,d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,Plus(Times(c,Plus(ASymbol,CSymbol),m),Times(CN1,BSymbol,d,Plus(n,C1)))),Times(a,Plus(Times(BSymbol,c,m),Times(CSymbol,d,Plus(n,C1)),Times(CN1,ASymbol,d,Plus(Times(C2,m),n,C1)))),Times(Plus(Times(b,CSymbol,d,Plus(m,Negate(n),Negate(C1))),Times(ASymbol,b,d,Plus(m,n,C1)),Times(a,Plus(Times(C2,c,CSymbol,m),Times(CN1,BSymbol,d,Plus(m,n,C1))))),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),RationalQ(m)),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(a,ASymbol),Times(b,BSymbol),Times(CN1,a,CSymbol)),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(C2,f,m,Plus(Times(b,c),Times(CN1,a,d))),-1)),Times(Power(Times(C2,a,m,Plus(Times(b,c),Times(CN1,a,d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,Plus(Times(c,Plus(ASymbol,CSymbol),m),Times(CN1,BSymbol,d,Plus(n,C1)))),Times(a,Plus(Times(BSymbol,c,m),Times(CSymbol,d,Plus(n,C1)),Times(CN1,ASymbol,d,Plus(Times(C2,m),n,C1)))),Times(Plus(Times(b,CSymbol,d,Plus(m,Negate(n),Negate(C1))),Times(ASymbol,b,d,Plus(m,n,C1)),Times(a,Plus(Times(C2,c,CSymbol,m),Times(CN1,BSymbol,d,Plus(m,n,C1))))),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),RationalQ(m)),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(a,Plus(ASymbol,Negate(CSymbol)),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(C2,f,m,Plus(Times(b,c),Times(CN1,a,d))),-1)),Times(Power(Times(C2,a,m,Plus(Times(b,c),Times(CN1,a,d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,Plus(ASymbol,CSymbol),m),Times(a,Plus(Times(CSymbol,d,Plus(n,C1)),Times(CN1,ASymbol,d,Plus(Times(C2,m),n,C1)))),Times(Plus(Times(b,CSymbol,d,Plus(m,Negate(n),Negate(C1))),Times(ASymbol,b,d,Plus(m,n,C1)),Times(C2,a,c,CSymbol,m)),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),RationalQ(m)),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,a,Plus(ASymbol,Negate(CSymbol)),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(C2,f,m,Plus(Times(b,c),Times(CN1,a,d))),-1)),Times(Power(Times(C2,a,m,Plus(Times(b,c),Times(CN1,a,d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,c,Plus(ASymbol,CSymbol),m),Times(a,Plus(Times(CSymbol,d,Plus(n,C1)),Times(CN1,ASymbol,d,Plus(Times(C2,m),n,C1)))),Times(Plus(Times(b,CSymbol,d,Plus(m,Negate(n),Negate(C1))),Times(ASymbol,b,d,Plus(m,n,C1)),Times(C2,a,c,CSymbol,m)),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),RationalQ(m)),Less(m,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(a,d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(b,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),m),Times(CN1,a,d,Plus(n,C1),Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(CN1,a,Plus(Times(d,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d)),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),RationalQ(n)),Less(n,CN1)),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(a,d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(b,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),m),Times(CN1,a,d,Plus(n,C1),Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(CN1,a,Plus(Times(d,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d)),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),RationalQ(n)),Less(n,CN1)),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(a,d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(b,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),m),Times(CN1,a,d,Plus(n,C1),Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(CN1,a,Plus(Times(CN1,ASymbol,Sqr(d),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),RationalQ(n)),Less(n,CN1)),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(a,d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(b,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),m),Times(CN1,a,d,Plus(n,C1),Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(CN1,a,Plus(Times(CN1,ASymbol,Sqr(d),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),RationalQ(n)),Less(n,CN1)),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(b,d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,b,d,Plus(m,n,C1)),Times(CSymbol,Plus(Times(a,c,m),Times(CN1,b,d,Plus(n,C1)))),Times(CN1,Plus(Times(CSymbol,m,Plus(Times(b,c),Times(CN1,a,d))),Times(CN1,b,BSymbol,d,Plus(m,n,C1))),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),NonzeroQ(Plus(m,n,C1))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(b,d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,b,d,Plus(m,n,C1)),Times(CSymbol,Plus(Times(a,c,m),Times(CN1,b,d,Plus(n,C1)))),Times(CN1,Plus(Times(CSymbol,m,Plus(Times(b,c),Times(CN1,a,d))),Times(CN1,b,BSymbol,d,Plus(m,n,C1))),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),NonzeroQ(Plus(m,n,C1))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(b,d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,b,d,Plus(m,n,C1)),Times(CSymbol,Plus(Times(a,c,m),Times(CN1,b,d,Plus(n,C1)))),Times(CN1,CSymbol,m,Plus(Times(b,c),Times(CN1,a,d)),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),NonzeroQ(Plus(m,n,C1))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_DEFAULT)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(b,d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,b,d,Plus(m,n,C1)),Times(CSymbol,Plus(Times(a,c,m),Times(CN1,b,d,Plus(n,C1)))),Times(CN1,CSymbol,m,Plus(Times(b,c),Times(CN1,a,d)),Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),ZeroQ(Plus(Sqr(a),Sqr(b)))),Not(And(RationalQ(m),Less(m,CN1)))),NonzeroQ(Plus(m,n,C1))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(d)),Times(c,Plus(Times(c,CSymbol),Times(CN1,BSymbol,d)))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(ASymbol,d,Plus(Times(b,d,m),Times(CN1,a,c,Plus(n,C1)))),Times(Plus(Times(c,CSymbol),Times(CN1,BSymbol,d)),Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(CN1,d,Plus(n,C1),Plus(Times(Plus(ASymbol,Negate(CSymbol)),Plus(Times(b,c),Times(CN1,a,d))),Times(BSymbol,Plus(Times(a,c),Times(b,d)))),Tan(Plus(e,Times(f,x)))),Times(CN1,b,Plus(Times(d,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d)),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m,n)),Greater(m,C0)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(d)),Times(c,Plus(Times(c,CSymbol),Times(CN1,BSymbol,d)))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(ASymbol,d,Plus(Times(b,d,m),Times(CN1,a,c,Plus(n,C1)))),Times(Plus(Times(c,CSymbol),Times(CN1,BSymbol,d)),Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(CN1,d,Plus(n,C1),Plus(Times(Plus(ASymbol,Negate(CSymbol)),Plus(Times(b,c),Times(CN1,a,d))),Times(BSymbol,Plus(Times(a,c),Times(b,d)))),Cot(Plus(e,Times(f,x)))),Times(CN1,b,Plus(Times(d,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d)),Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m,n)),Greater(m,C0)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(d)),Times(Sqr(c),CSymbol)),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(ASymbol,d,Plus(Times(b,d,m),Times(CN1,a,c,Plus(n,C1)))),Times(c,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(CN1,d,Plus(n,C1),Plus(ASymbol,Negate(CSymbol)),Plus(Times(b,c),Times(CN1,a,d)),Tan(Plus(e,Times(f,x)))),Times(b,Plus(Times(ASymbol,Sqr(d),Plus(m,n,C1)),Times(CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m,n)),Greater(m,C0)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(d)),Times(Sqr(c),CSymbol)),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1)),Times(CN1,Power(Times(d,Plus(n,C1),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Simp(Plus(Times(ASymbol,d,Plus(Times(b,d,m),Times(CN1,a,c,Plus(n,C1)))),Times(c,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(CN1,d,Plus(n,C1),Plus(ASymbol,Negate(CSymbol)),Plus(Times(b,c),Times(CN1,a,d)),Cot(Plus(e,Times(f,x)))),Times(b,Plus(Times(ASymbol,Sqr(d),Plus(m,n,C1)),Times(CSymbol,Plus(Times(Sqr(c),m),Times(CN1,Sqr(d),Plus(n,C1))))),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m,n)),Greater(m,C0)),Less(n,CN1)))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,ASymbol,d,Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(d,Plus(Times(ASymbol,b),Times(a,BSymbol),Times(CN1,b,CSymbol)),Plus(m,n,C1),Tan(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(CSymbol,m,Plus(Times(b,c),Times(CN1,a,d))),Times(CN1,b,BSymbol,d,Plus(m,n,C1))),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Greater(m,C0)),Not(And(And(IntegerQ(n),Greater(n,C0)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,ASymbol,d,Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(d,Plus(Times(ASymbol,b),Times(a,BSymbol),Times(CN1,b,CSymbol)),Plus(m,n,C1),Cot(Plus(e,Times(f,x)))),Times(CN1,Plus(Times(CSymbol,m,Plus(Times(b,c),Times(CN1,a,d))),Times(CN1,b,BSymbol,d,Plus(m,n,C1))),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Greater(m,C0)),Not(And(And(IntegerQ(n),Greater(n,C0)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,ASymbol,d,Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(d,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Plus(m,n,C1),Tan(Plus(e,Times(f,x)))),Times(CN1,CSymbol,m,Plus(Times(b,c),Times(CN1,a,d)),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Greater(m,C0)),Not(And(And(IntegerQ(n),Greater(n,C0)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_DEFAULT),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,CSymbol,Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(d,f,Plus(m,n,C1)),-1)),Times(Power(Times(d,Plus(m,n,C1)),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,Negate(C1))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,ASymbol,d,Plus(m,n,C1)),Times(CN1,CSymbol,Plus(Times(b,c,m),Times(a,d,Plus(n,C1)))),Times(d,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Plus(m,n,C1),Cot(Plus(e,Times(f,x)))),Times(CN1,CSymbol,m,Plus(Times(b,c),Times(CN1,a,d)),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Greater(m,C0)),Not(And(And(IntegerQ(n),Greater(n,C0)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(f,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1)),Times(Power(Times(Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,Plus(Times(a,Plus(Times(b,c),Times(CN1,a,d)),Plus(m,C1)),Times(CN1,Sqr(b),d,Plus(m,n,C2)))),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Plus(Times(b,c,Plus(m,C1)),Times(a,d,Plus(n,C1)))),Times(CN1,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(ASymbol,b),Times(CN1,a,BSymbol),Times(CN1,b,CSymbol)),Tan(Plus(e,Times(f,x)))),Times(CN1,d,Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)))),Plus(m,n,C2),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Less(m,CN1)),Not(And(And(IntegerQ(n),Less(n,CN1)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(f,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1)),Times(Power(Times(Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,Plus(Times(a,Plus(Times(b,c),Times(CN1,a,d)),Plus(m,C1)),Times(CN1,Sqr(b),d,Plus(m,n,C2)))),Times(Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)),Plus(Times(b,c,Plus(m,C1)),Times(a,d,Plus(n,C1)))),Times(CN1,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(ASymbol,b),Times(CN1,a,BSymbol),Times(CN1,b,CSymbol)),Cot(Plus(e,Times(f,x)))),Times(CN1,d,Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,Plus(Times(b,BSymbol),Times(CN1,a,CSymbol)))),Plus(m,n,C2),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Less(m,CN1)),Not(And(And(IntegerQ(n),Less(n,CN1)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(f,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1)),Times(Power(Times(Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,Plus(Times(a,Plus(Times(b,c),Times(CN1,a,d)),Plus(m,C1)),Times(CN1,Sqr(b),d,Plus(m,n,C2)))),Times(CN1,a,CSymbol,Plus(Times(b,c,Plus(m,C1)),Times(a,d,Plus(n,C1)))),Times(CN1,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Tan(Plus(e,Times(f,x)))),Times(CN1,d,Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Plus(m,n,C2),Sqr(Tan(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Less(m,CN1)),Not(And(And(IntegerQ(n),Less(n,CN1)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CN1,Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C1)),Power(Times(f,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1)),Times(Power(Times(Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),Plus(m,C1)),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(ASymbol,Plus(Times(a,Plus(Times(b,c),Times(CN1,a,d)),Plus(m,C1)),Times(CN1,Sqr(b),d,Plus(m,n,C2)))),Times(CN1,a,CSymbol,Plus(Times(b,c,Plus(m,C1)),Times(a,d,Plus(n,C1)))),Times(CN1,Plus(m,C1),Plus(Times(b,c),Times(CN1,a,d)),Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Cot(Plus(e,Times(f,x)))),Times(CN1,d,Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Plus(m,n,C2),Sqr(Cot(Plus(e,Times(f,x)))))),x)),x))),And(And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),RationalQ(m)),Less(m,CN1)),Not(And(And(IntegerQ(n),Less(n,CN1)),Or(Not(IntegerQ(m)),And(ZeroQ(a),NonzeroQ(c)))))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),-1)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(b,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d),Times(CSymbol,d)))),x,Power(Times(Plus(Sqr(a),Sqr(b)),Plus(Sqr(c),Sqr(d))),-1)),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Plus(b,Times(CN1,a,Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),-1)),x)),Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Plus(d,Times(CN1,c,Tan(Plus(e,Times(f,x))))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),-1)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d))),Times(b,Plus(Times(BSymbol,c),Times(CN1,ASymbol,d),Times(CSymbol,d)))),x,Power(Times(Plus(Sqr(a),Sqr(b)),Plus(Sqr(c),Sqr(d))),-1)),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Plus(b,Times(CN1,a,Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),-1)),x)),Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Plus(d,Times(CN1,c,Cot(Plus(e,Times(f,x))))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(Plus(a_,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),-1)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(CN1,b,Plus(Times(ASymbol,d),Times(CN1,CSymbol,d)))),x,Power(Times(Plus(Sqr(a),Sqr(b)),Plus(Sqr(c),Sqr(d))),-1)),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Plus(b,Times(CN1,a,Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),-1)),x)),Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Plus(d,Times(CN1,c,Tan(Plus(e,Times(f,x))))),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(Plus(a_,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),-1)),x_Symbol),
    Condition(Plus(Times(Plus(Times(a,Plus(Times(ASymbol,c),Times(CN1,c,CSymbol))),Times(CN1,b,Plus(Times(ASymbol,d),Times(CN1,CSymbol,d)))),x,Power(Times(Plus(Sqr(a),Sqr(b)),Plus(Sqr(c),Sqr(d))),-1)),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(a),Sqr(b))),-1),Int(Times(Plus(b,Times(CN1,a,Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),-1)),x)),Times(CN1,Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Times(Plus(Times(b,c),Times(CN1,a,d)),Plus(Sqr(c),Sqr(d))),-1),Int(Times(Plus(d,Times(CN1,c,Cot(Plus(e,Times(f,x))))),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,BSymbol),Times(a,Plus(ASymbol,Negate(CSymbol))),Times(Plus(Times(a,BSymbol),Times(CN1,b,Plus(ASymbol,Negate(CSymbol)))),Tan(Plus(e,Times(f,x))))),x)),x)),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),-1)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(b,BSymbol),Times(a,Plus(ASymbol,Negate(CSymbol))),Times(Plus(Times(a,BSymbol),Times(CN1,b,Plus(ASymbol,Negate(CSymbol)))),Cot(Plus(e,Times(f,x))))),x)),x)),Times(Plus(Times(ASymbol,Sqr(b)),Times(CN1,a,b,BSymbol),Times(Sqr(a),CSymbol)),Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),-1)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,Plus(ASymbol,Negate(CSymbol))),Times(CN1,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Tan(Plus(e,Times(f,x))))),x)),x)),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),-1)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),-1),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(a,Plus(ASymbol,Negate(CSymbol))),Times(CN1,Plus(Times(ASymbol,b),Times(CN1,b,CSymbol)),Cot(Plus(e,Times(f,x))))),x)),x)),Times(Plus(Times(ASymbol,Sqr(b)),Times(Sqr(a),CSymbol)),Power(Plus(Sqr(a),Sqr(b)),-1),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),-1)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Sqrt(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))))),-1)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d),Times(Plus(Times(BSymbol,c),Times(CN1,d,Plus(ASymbol,Negate(CSymbol)))),Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x)),Times(Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Times(Sqrt(Plus(a,Times(b,Tan(Plus(e,Times(f,x)))))),Plus(c,Times(d,Tan(Plus(e,Times(f,x)))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Times(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Sqrt(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))))),-1)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(BSymbol,d),Times(Plus(Times(BSymbol,c),Times(CN1,d,Plus(ASymbol,Negate(CSymbol)))),Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x)),Times(Plus(Times(Sqr(c),CSymbol),Times(CN1,BSymbol,c,d),Times(ASymbol,Sqr(d))),Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Times(Sqrt(Plus(a,Times(b,Cot(Plus(e,Times(f,x)))))),Plus(c,Times(d,Cot(Plus(e,Times(f,x)))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Sqrt(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))))),-1)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(CN1,d,Plus(ASymbol,Negate(CSymbol)),Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x)),Times(Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Times(Sqrt(Plus(a,Times(b,Tan(Plus(e,Times(f,x)))))),Plus(c,Times(d,Tan(Plus(e,Times(f,x)))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Times(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Sqrt(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))))),-1)),x_Symbol),
    Condition(Plus(Times(Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(Times(ASymbol,c),Times(CN1,c,CSymbol),Times(CN1,d,Plus(ASymbol,Negate(CSymbol)),Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x)),Times(Plus(Times(Sqr(c),CSymbol),Times(ASymbol,Sqr(d))),Power(Plus(Sqr(c),Sqr(d)),-1),Int(Times(Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Times(Sqrt(Plus(a,Times(b,Cot(Plus(e,Times(f,x)))))),Plus(c,Times(d,Cot(Plus(e,Times(f,x)))))),-1)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Plus(ASymbol,Negate(CSymbol),Times(BSymbol,Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Plus(ASymbol,Negate(CSymbol),Times(BSymbol,Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x),Times(CSymbol,Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(ASymbol,Negate(CSymbol)),Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x)),Times(CSymbol,Int(Times(Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Tan(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),CN1D2)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),CN1D2),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(Plus(ASymbol,Negate(CSymbol)),Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x)),Times(CSymbol,Int(Times(Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Plus(C1,Sqr(Cot(Plus(e,Times(f,x))))),Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),CN1D2)),x))),And(And(And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))),Not(And(RationalQ(n),Greater(n,C0)))),Not(And(RationalQ(n),LessEqual(n,CN1)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C2))),x)),Times(CN1,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(Sqr(c),CSymbol),Times(CN1,ASymbol,Sqr(d)),Times(d,Plus(Times(C2,c,CSymbol),Times(CN1,BSymbol,d)),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Times(B_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C2))),x)),Times(CN1,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(Sqr(c),CSymbol),Times(CN1,ASymbol,Sqr(d)),Times(d,Plus(Times(C2,c,CSymbol),Times(CN1,BSymbol,d)),Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,BSymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§tan"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),Plus(n,C2))),x)),Times(CN1,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Tan(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Tan(Plus(e,Times(f,x))))),n),Simp(Plus(Times(Sqr(c),CSymbol),Times(CN1,ASymbol,Sqr(d)),Times(C2,c,CSymbol,d,Tan(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d)))))),
ISetDelayed(Int(Times(Plus(A_DEFAULT,Times(C_DEFAULT,Sqr($($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_)))))),Power(Plus(a_DEFAULT,Times(b_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),m_),Power(Plus(c_DEFAULT,Times(d_DEFAULT,$($s("§cot"),Plus(e_DEFAULT,Times(f_DEFAULT,x_))))),n_)),x_Symbol),
    Condition(Plus(Times(CSymbol,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),Plus(n,C2))),x)),Times(CN1,Power(d,-2),Int(Times(Power(Plus(a,Times(b,Cot(Plus(e,Times(f,x))))),m),Power(Plus(c,Times(d,Cot(Plus(e,Times(f,x))))),n),Simp(Plus(Times(Sqr(c),CSymbol),Times(CN1,ASymbol,Sqr(d)),Times(C2,c,CSymbol,d,Cot(Plus(e,Times(f,x))))),x)),x))),And(And(And(FreeQ(List(a,b,c,d,e,f,ASymbol,CSymbol,m,n),x),NonzeroQ(Plus(Times(b,c),Times(CN1,a,d)))),NonzeroQ(Plus(Sqr(a),Sqr(b)))),NonzeroQ(Plus(Sqr(c),Sqr(d))))))
  );
}
